jose is choosing between two exercise routines. in routine #1 he burns 44 calories walking. he then runs at a rate that burns 12.75 calories per minute. in routine #2 he burns 22 calories walking. he then runs at a rate that burns 15.5 calories per minute.for what amount of time spent running will routine #1 burn fewer calories than routine #2.use t for the number of minutes spent running and solve your inequality for t.

Answers

Answer 1

Answer:

Greater than 8 minutes

Explanation:

Let the number of minutes spent running = t

Routine 1

Number of calories burnt walking = 44

Rate of burning calories when running = 12.75 calories per minute.

\(\begin{gathered} 12.75=\frac{Number\text{ of calories}}{t} \\ Number\text{ of calories}=12.75t \end{gathered}\)

Total calories burnt in Routine 1 = 44+12.75t

Routine 2

Number of calories burnt walking = 22

Rate of burning calories when running = 15.5 calories per minute.

Total calories burnt in Routine 2 = 22+15.5t

Therefore, when routine #1 burn fewer calories than routine #2, we have:

\(44+12.75t<22+15.5t\)

We then solve for t.

\(\begin{gathered} 44-22<15.5t-12.75t \\ 22<2.75t \\ \frac{22}{2.75}<\frac{2.75t}{2.75} \\ 8When the amount of time is greater than 8 minutes, routine #1 will burn fewer calories than routine #2.


Related Questions

Find the domain of y=-8x-3

Answers

Answer:

if i'm correct the question is asking what's -8 x 3= -24

Step-by-step explanation:

Sorry if i'm wrong!  Hope this helps!

The answer is (-infinty,infinity)

Mr. Mancini is driving east to visit some relatives. The graph below shows the distances and times he drove for each of five days.

Answers

Answer:

Step-by-step explanation:

I’m just a beginner mate but I know for a fact just match the graph and you’ll get the answer

30 PTS

a. 59
b. 36.9
c. 53.1
d. 30.1

30 PTSa. 59b. 36.9c. 53.1d. 30.1

Answers

Answer:

c)

Step-by-step explanation:

◄)) Solve for d.
18 = d + 2

Answers

Answer:

d = 16

Step-by-step explanation:

18 = d+2

d = 18-2

d = 16

Jack had a box Good and plenty candy. The ratio of pink to white candy's was 5:7 If Jack buys a bigger bag of candy with the same pink to white ratio and a total of 120 candies, how many candy's are white?

Answers

\(\begin{gathered} \text{Ratio of pink to white is 5:7} \\ \text{Total Ratio=5+7=12} \\ \text{Total candies=120} \end{gathered}\)

Thus, the number of white candies are:

\(\begin{gathered} \frac{7}{12}\times120 \\ 7\times10=70\text{ candies} \end{gathered}\)

Hence, there are 70 white candies in the bigger bag

I took a picture of the question

I took a picture of the question

Answers

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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These 3 please!!! Properties of Kites and Trapzoids exercises 1-3

These 3 please!!! Properties of Kites and Trapzoids exercises 1-3

Answers

Answer:

area = 1/2(AC)(BD)yes; BE can be found using the Pythagorean theoremyes

Step-by-step explanation:

1.

Triangles ADB and CDB are congruent, so each is half the total area. The area of ADB is ...

  A = 1/2bh

  A = 1/2(DB)(1/2AC) = 1/4(DB)(AC)

The area of the kite is twice this value:

  A = 1/2(DB)(AC)

__

2.

In order to use the formula derived in part 1, we need to know the length of BE. That can be found using the Pythagorean theorem:

  BE² +AE² = AB²

We know that AE = 1/2AC, so the desired dimension is ...

  BE = √(AB² -(1/4)AC²)

Then the area of the kite is ...

  area = 1/2(DB)(AC)

  area = (1/2)(AC)(ED +√(AB² -(1/4)AC²)

__

3.

Given three sides of a triangle, the area of it can be found using Heron's formula. If you have not yet seen that in your geometry class, you can always use the Pythagorean theorem and some algebra.

As before, we need to know the lengths of the diagonals. One is given. The other can be found considering the Pythagorean relations:

  AD² = AE² +DE²

  AB² = AE² +BE²

  BE +DE = BD . . . . the sum of the horizontal diagonal lengths

Subtracting the second equation from the first gives ...

  AD² -AB² = DE² -BE²

Using the third to write an expression for DE, we get an equation for BE:

  AD² -AB² = (BD -BE)² -BE²

  AD² -AB² = BD² -2BD·BE +BE² -BE²

  (AB² +BD² -AD²)/(2BD) = BE

Substituting this into the original second equation, we can find AE, hence the area of the kite.

  AE² = AB² -((AB² +BD² -AD²)/(2BD))²

Which means the kite area is ...

  area = BD·AE = BD√(AB² -((AB² +BD² -AD²)/(2BD))²)

  area = (1/2)√(4·AB²·BD² -(AB² +BD² -AD²)²

This area formula demonstrates it is possible to find the area of the kite given the three lengths AB, BD, DA.

_____

Additional comment

We have no doubt that the area formula of Part 3 can be rearranged to match Heron's formula. Here, we're interested in demonstrating area can be found.

How do I solve this question?

How do I solve this question?

Answers

it is a black screen
I can’t see it’s black

What will be the answer to this question
3x-4y=3

Answers

Step-by-step explanation:

3x - 3y=3 which means 3x=3+4y

3x/3=3/3+4y/3 devide both sides by 3 to find c

x=1+4/3y we solve x instead of y

3(1+4/3y)-4y=3 replace x instead of y

Any value of y makes the equation True.

it depends what you’re looking for

for the slope and the y-intercept is m=3/4 and b=-3/4

the x intercept/0 is 1

rewriting in slope would be y=3/4x-3/4

What is the probability of X=4?
Image above.

What is the probability of X=4? Image above.

Answers

Answer:

0.30

Step-by-step explanation:

sum of all probabilities is 1

so:

p(x=4) = 1 - ( 0.01 + 0.04 + 0.10 + 0.12 + 0.30 + 0.11 + 0.01 +0.01)

= 1 - 0.70

= 0.30

Can someone please solve this.

Can someone please solve this.

Answers

The  correct option is  the root of auxiliary equation are 0 and6

What is differential equation?A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here “x” is an independent variable and “y” is a dependent variable. For example, dy/dx = 5x.General Differential Equations. Consider the equation y′=3x2, which is an example of a differential equation because it includes a derivative. There is a relationship between the variables x and y:y is an unknown function of x. Furthermore, the left-hand side of the equation is the derivative of y.Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation

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HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m

HELP PLEASE!!Quadrilateral CDEF is a rhombus. What is m

Answers

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

1.
(03.03 MC)

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)

Answers

Answer:

sept one

Step-by-step explanation:

In using quarterly time series data, which quarter can serve as the base period for interpretation of dummy variables?
A. Any of the above.
B. Quarter two
C. Quarter one
D. Quarter four
E. Quarter three

Answers

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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Please Help. Which system of linear equations is represented in the graph?

Please Help. Which system of linear equations is represented in the graph?

Answers

Answer:  

y = x - 3

y = -5x +2

Step-by-step explanation:  for The "missing" coefficient of x (m in the y=mx+b format) is an implied +1. So the slope is "up-one & over one." y-intercept is -3

y = -5x +2   The slope is -5 so "down 5 & over 1" on the graph, The y-intercept is +2

the polygons in each pair are similar. find the missing side length​

the polygons in each pair are similar. find the missing side length

Answers

Answer:

Missing length = 20

Step-by-step explanation:

Ratio is 16/20=4/5

25×4/5=20

The sum of three consecutive even integers is −312. Find the Integers.

Answers

Answer:

-106, -104, -102

Step-by-step explanation:

PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutes


Which algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K'?

PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutesWhich algebraic rule describes
PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutesWhich algebraic rule describes

Answers

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

How to determine the algebraic rule that describes the translation of quadrilateral?

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

                                         

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?

Answers

Answer:

Step-by-step explanation: 12 ur welcome

Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.

What is speed?

Speed=Distance traveled/time

An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.

Given distance=1 km

time=1/12 min

We need to find speed.

Speed=Distance traveled/time

=1/(1/12)

=1*12/1

=12kilometerperminute

Therefore 12 kilometer per meter is the speed required.

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In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 30 with a standard deviation of 7 days. Assume the data to be approximately bell-shaped.
Between what two values will approximately 68% of the numbers of days be?
Approximately 68% of the customer accounts have payment made between __________and________________ days

Answers

Answer:

Approximately 68% of the customer accounts have payment made between 23 and 37 days.

Step-by-step explanation:

We want to calculate what two values will approximately 68% of the numbers of days be.

For a bell shaped distribution, we can apply the 68-95-99.7 rule, which states that approximately 68% of the data will fall within 1 standard deviation from the mean.

Then, for a mean of 30 and standard deviation of 7, we can calculate the two values as:

\(X_1=\mu+z_1\cdot\sigma=30-1\cdot 7=30-7=23 \\\\X_2=\mu+z_2\cdot\sigma=30+1\cdot 7=30+7=37\)

Answer:

   The answer is 16 and 44 days.

Step-by-step explanation:

This is the correct answer for this question.

A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?

Answers

$433.91-$399 is = $34.91. the answer is $34.91

Answer:

34.91

Step-by-step explanation:

433.91

-

399.00

————

34.91

Help! I’m confused and need help finding the answer!

Help! Im confused and need help finding the answer!

Answers

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest


Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To
make the mixture, he uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts
that cost $3.00 per pound. He mixes 10 pounds at a time.
How many pounds of Virginia peanuts does Sergio use? How many pounds of Spanish peanuts does Sergio use?

Answers

How many pounds of Virginia peanuts does Sergio use?

Assume he is making 10 lb of the $3.40 mixture

Let x = no. of pounds of the Virginia ($3.50) peanuts

Then (10-x) = no. of pounds of the Spanish ($3) peanuts

The Equation:

3.5x + 3(10-x) = 3.4(10)

3.5x + 30 - 3x = 34

.5x = 34 - 30

x = 4/.5

x = 8 pounds of Virginia peanuts

:

(b)How many pounds Spanish peanuts does Sergio use?

Spanish peanuts must be 2 pounds since the total is 10 pounds

:

Check:

3.5(8) + 3(2) = 3.4(10)

28 + 6 = 34

Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61

Find the distance between point N and point M.-N(-1,2)*M(-4, 4)square root of 45square root of 13square

Answers

Answer:

(-2.5, 3)

Step-by-step explanation:

ABC, Construct a triangle ABC, <B =90° AB= 4cm AC=5cm. Find the third side.

Helpppp​

Answers

Pythagoras Theorem

BC = 3 cm

Step by step explanation :

» Attached «

 ABC, Construct a triangle ABC, &lt;B =90 AB= 4cm AC=5cm. Find the third side.Helpppp

Kimberly wrote a proof. What was her error?
will mark brainiliest.

Kimberly wrote a proof. What was her error?will mark brainiliest.

Answers

The error is:

∠M and ∠N are supplementary.

m∠M + m∠N = 180

∠N and ∠0 are supplementary.

m∠N + m∠0 = 180

We have,

In a parallelogram, consecutive angles are supplementary.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Since opposite sides are parallel, opposite angles in a parallelogram are congruent (equal in measure).

Consecutive angles are the pair of angles that share a side in the parallelogram.

The sum of the measures of these consecutive angles is always 180 degrees, making them supplementary.

Thus,

The error is:

∠M and ∠N are supplementary.

m∠M + m∠N = 180

∠N and ∠0 are supplementary.

m∠N + m∠0 = 180

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Add and Subtract Fractions with unlike denominators
Kirsten and Gabriel used paint in their art class. They used 2/3 pints of white
paint, 2/4 pints of red paint, and 1 pint of green paint. How much paint did
they use?
They used
of paint.

Answers

Answer:

2 1/6

Step-by-step explanation:

2/3+2/4=8/12+6/12=14/12=1 2/12=1 1/6

1 1/6+1=2 1/6

Answer:

21 hes got the right answer

During a sale, a store offered a 25% discount on a bed that originally sold for $800. After the sale, the discounted price of the bed was marked up by 25%. What was the price of the bed after the markup? Round to the nearest cent.

Answers

The price of the bed after mark up is $475.00

What is discount?

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

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HELP PLEASE!!! BESTIE ANSWER GETS BRAINLYEST:D

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool. Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.

What is the change of the amount of water after 1 1/2 minutes?


Answer as a simplafied mixed number

HELP PLEASE!!! BESTIE ANSWER GETS BRAINLYEST:DA large pool has a faucet to allow water to enter the pool

Answers

Answer:

2.083

Step-by-step explanation:

Answer:

25/12

Step-by-step explanation:

......... ..................

Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?

Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?

Answers

The operation that has been performed on v to result in the vector that is shown is multiplication by -1.

How to explain the vector

The vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.

Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).

Here is the mathematical equation:

(-1) * (2, 1) = (-2, -1)

Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.

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